{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Kmeans 算法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "is_executing": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>V1</th>\n",
       "      <th>V2</th>\n",
       "      <th>labels</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.072345</td>\n",
       "      <td>-3.241693</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>17.936710</td>\n",
       "      <td>15.784810</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.083576</td>\n",
       "      <td>7.319176</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.120670</td>\n",
       "      <td>14.406780</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>23.711550</td>\n",
       "      <td>2.557729</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          V1         V2  labels\n",
       "0   2.072345  -3.241693       0\n",
       "1  17.936710  15.784810       0\n",
       "2   1.083576   7.319176       0\n",
       "3  11.120670  14.406780       0\n",
       "4  23.711550   2.557729       0"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#加载数据并预览\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "data = pd.read_csv('data.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0\n",
       "1    0\n",
       "2    0\n",
       "3    0\n",
       "4    0\n",
       "Name: labels, dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#定义X和y\n",
    "X = data.drop(['labels'],axis=1)\n",
    "y = data.loc[:,'labels']\n",
    "y.head()#预览"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2    1156\n",
       "1     954\n",
       "0     890\n",
       "Name: labels, dtype: int64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#查看类别\n",
    "pd.value_counts(y) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画图 无标签的\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n",
    "fig1 = plt.figure()\n",
    "plt.scatter(X.loc[:,'V1'],X.loc[:,'V2'])\n",
    "plt.title(\"un-labled data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画图 有标签的 \n",
    "fig2 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y==0],X.loc[:,'V2'][y==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y==1],X.loc[:,'V2'][y==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y==2],X.loc[:,'V2'][y==2])\n",
    "\n",
    "plt.title(\"labled data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3000, 2) (3000,)\n"
     ]
    }
   ],
   "source": [
    "print(X.shape,y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(n_clusters=3, random_state=0)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#建立模型\n",
    "from sklearn.cluster import KMeans\n",
    "KM = KMeans(n_clusters=3,random_state=0)#指定归为3类,确保初始化一致\n",
    "KM.fit(X)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "#得到中心点的坐标\n",
    "centers = KM.cluster_centers_\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEWCAYAAACNJFuYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO2de3xU9Zn/P89MJskQNUGFGhIoUC3WSwTkp7RcqqX10mihakFr+8O1XbeX3UXrugalNrp0jT+3tfhq3V9dbcuvtQiLFtS0hVbtglp1uWiQCqtFK4lRKZggMJBJ8vz+OHOGM2fO91xmzsw5M/O8efFKci7f88xM8n2+3+dKzAxBEARBMBIJWgBBEAQhfIhyEARBELIQ5SAIgiBkIcpBEARByEKUgyAIgpCFKAdBEAQhC1EOQllDRG8S0addXstEdLLi3DVE9EyOMni614vMglAoRDkIQgljp9AEIR9EOQiCIAhZiHIQKgYiOoeI/khEfUTUS0Q/JKJq02WfJaJdRPRXIrqbiCz/RojoVCL6HRHtI6KdRDTfcO4EInqMiPYT0YsAPuIg15eJ6C9EtJeIbnUrMxFtSF32MhEdIKIFRDSSiJ4goj1E9H7q+2bPb5ZQ8YhyECqJIQA3ADgRwMcBzAHwDdM1nwcwDcBUAHMBXGsehIjqAPwOwC8BjAZwFYD7iOj01CU/AnAYQGPq/qwxDGOdBuDfAXwZwBgAJwAwTuZKmZl5duqas5j5GGZeCe1v+qcAPgxgHIAEgB+q3xJBsEaUg1AxMPNmZn6emQeZ+U0APwbwSdNldzHzPmZ+C8APoE38Zi4B8CYz/zQ11hYAjwC4goiiAC4HcBszH2TmVwAstxHrCgBPMPMGZj4C4NsAhj3KbHyNe5n5EWY+xMwfAPiu3fWCoKIqaAEEoVgQ0UcBfB/azmAEtN//zabLdhu+/wu01byZDwM4l4j6DMeqAPwcwKjU9+ZxVIwxXsvMB4lor0eZYbh+BIB7AFwEYGTq8LFEFGXmIRs5BCED2TkIlcS/A9gB4BRmPg7ALQDIdM1Yw/fjALxtMc5uAP/FzA2G/8cw89cB7AEwaDGOil7jtanJ/QSPMhu5EcAkAOemrtdNT3b3CEIWohyESuJYAPsBHCCiUwF83eKam1JO3bEAFgFYaXHNEwA+mnIkx1L//xcRfSy1On8UQDsRjUj5FBbayLQawCVENDPlaL4DmX+XTjK/C2Ci6foEgD4iOh7Ad2yeLQhKRDkIlcQ/AfgigA8A/AesJ/610Mw2LwHoBPCg+YKULf8CAFdC21m8A+AuADWpS/4ewDGp4z+D5iC2hJm3A/gmNOd2L4D3AXR7kLkdwPJUNNN8aH6SOIC/AngewG9VzxYEO0ia/QiCIAhmZOcgCIIgZCHKQRAEQchClIMgCIKQhSgHQRAEIYuySII78cQTefz48UGLIQiCUFJs3rz5r8w8yupcWSiH8ePHY9OmTUGLIQiCUFIQkTJ7X8xKgiAIQhaiHARBEIQsRDkIgiAIWZSFz0EQBEFFMplEd3c3Dh8+HLQogVFbW4vm5mbEYjHX94hyEAShrOnu7saxxx6L8ePHg6jyitMyM/bu3Yvu7m5MmDDB9X1iVhIED3Tu6sQFqy9Ay/IWXLD6AnTu6iyJsSuZw4cP44QTTqhIxQAARIQTTjjB885Jdg6C4JLOXZ1of64dh4e0P7Leg71of64dANA6sTW0Y1s9a9mWZXjn4Ds4qe4kLJq6yPdnhI1KVQw6ubx+2TkIgkuWbVmWnrx1Dg8dxrIty0I9thFdCfUe7AWD00pIdimCGVEOguCSdw6+4+l4WMY2UiwlJGRyzDHH2J5/8803ccYZZ3ga85prrsHq1asBAG+88QbOPfdcnHLKKViwYAEGBgZyllVHlIMguOSkupM8HfdCfU19wcY2UiwlJBSXm2++GTfccANee+01jBw5Eg8+mNWjyjOiHATBJYumLkJttDbjWG20FrObZ+flSO7c1YkDAweyjscisbzHNlNIBVcurNnagxkdT2FCWydmdDyFNVt7fBv7wIEDmDNnDqZOnYozzzwTa9euTZ8bHBzEwoUL0dLSgiuuuAKHDh0CAGzevBmf/OQncfbZZ+PCCy9Eb29vxpjMjKeeegpXXHEFAGDhwoVYs2ZN3rKKchAEF+hO3MNDhxEh7c+msa4Rc0+ei7Wvr/VkwzdHJd35wp0Y5MGs65LDSazcudJX/4BKwS2auijnMcuJNVt7sPjRbejpS4AB9PQlsPjRbb4piNraWvzqV7/Cli1b8PTTT+PGG2+E3o1z586duO6669DV1YXjjjsO9913H5LJJP7hH/4Bq1evxubNm3Httdfi1ltvzRhz7969aGhoQFWVFl/U3NyMnp785RXlIAgOGJ24ADDMw+kJdUP3Bk82fCuHcP9Av2tZDg8dRseLHTm/ltaJrWj/RDsa6xpBIDTWNaL9E+1lH63klrvX7UQiOZRxLJEcwt3rdvoyPjPjlltuQUtLCz796U+jp6cH7777LgBg7NixmDFjBgDgS1/6Ep555hns3LkTr7zyCj7zmc9g8uTJWLp0Kbq7u7PGNONHdJaEsgqCA3ZOXK82fKuxvNJ3pA+duzpzntBbJ7aKMlDwdl/C03GvPPTQQ9izZw82b96MWCyG8ePHp/MPzBM6EYGZcfrpp+OPf/yjcswTTzwRfX19GBwcRFVVFbq7uzFmzJi8ZZWdgyA4YKcAVLb6+pp6S1+BX45fiS4qDGMa4p6Oe6W/vx+jR49GLBbD008/jb/85WjF7LfeeiutBFasWIGZM2di0qRJ2LNnT/p4MpnE9u3bM8YkIpx//vnpyKXly5dj7ty5ecsqykEQHLBz4i6aughVlLkBjyCCAwMHLH0Ffjl+JbqoMNx04STEY9GMY/FYFDddOMmX8a+++mps2rQJ06ZNw0MPPYRTTz01fe5jH/sYli9fjpaWFuzbtw9f//rXUV1djdWrV+Pmm2/GWWedhcmTJ+O5557LGveuu+7C97//fZx88snYu3cvvvKVr+QtK1nZq0qNadOmsTT7EQqFOXsZ0Jy4c0+ei9++8VvXPoPGukYsmrooa6xc0MdatmUZeg/2IkIRDPNw+njrxNaKzIS24tVXX8XHPvYx19ev2dqDu9ftxNt9CYxpiOOmCydh3pSmAkpYHKzeByLazMzTrK4P1OdARDcA+CoABrANwN8AGAFgJYDxAN4EMJ+Z3w9IRKGCME6m9TX1YGbsH9iPk+pOwtyT52JD94b0RDu7eTbWvr7W0yT/zsF30pOzPqmraKhpQP+RftTX1OPAwIGsaKZ3Dr6DWzbegmEMA9Cc5MDRshtb39uaIV+hynGUowKaN6WpLJRBvgS2cyCiJgDPADiNmRNEtArArwGcBmAfM3cQURuAkcx8s91YsnMQvNK5qxO3P3c7EkNHHY1RimKIhyyvr43WZkT1XLD6AtvJ3YrGukasv2J9+me7MYzXWsnqhL6TcJJBHz+XCV61owpb9JPXnUO54nXnELTPoQpAnIiqoO0Y3gYwF8Dy1PnlAOYFJJtQpnTu6sTijYuzJluVYgC06KS2jW2YuWImZj08y7NiiEViWbkEs5tnK683+hRaJ7biyPART8+zUgzmcYH8ai1JKY7yJjCzEjP3ENG/AXgLQALAemZeT0QfYube1DW9RDTa6n4iug7AdQAwbty4YoktlAHLtiwDI7cds5ecBCODw4NYvHExOl7sADM7jnNc9XEZP6smexWqnYPZIW43wTut/qUUR3kT2M6BiEZC2yVMADAGQB0Rfcnt/cx8PzNPY+Zpo0aNKpSYQpnRuavT86rfDzj1r+9InysFcyB5ADNXzEyHwhK8JTV94aNfcJUJnc8EL6U4ypsgzUqfBvAGM+9h5iSARwF8AsC7RNQIAKmv7wUoo1BG6CaUQqKX1siXIR5C/0B/2tTjRTksmLQAS6YvSWdC6+imsVkPz0qbjfKZ4KUUR3kTpHJ4C8B0IhpBWmrgHACvAngMwMLUNQsBrFXcL1QoXjqmGa+95Zlb8g4hdcKr+cf1uKmoJCcl0TGrA0umLwGg+Sqs8jD6jvShbWMblj6/NK8JXkpxuKfQJbt/+MMf4uSTTwYR4a9//WvOchoJ0ufwAhGtBrAFwCCArQDuB3AMgFVE9BVoCuQLQckohAc9osZsElKFaHbu6kTHix3oO9KXPlbMyLwIRcDMOfs2VNiN11jXmDUxd7zYYVnUDwBW7lyJKaOnoP0T7Rn5EkanstNEL6U4wsGMGTNwySWX4LzzzvNtzECjlZj5O8x8KjOfwcxfZuYjzLyXmecw8ympr/uClFEIns5dnfj2s99W+grMETK6+cioGIoNM6NrYRcaahqK9szEYCJjF9W5q9PxPdAdz/oOw5gvoe8uKo6uVcA9ZwDtDdrXrlW+DV2Ikt0AMGXKFIwfP943OYHgQ1kFQYluEmrb2IbkcNL2WqMD1Y/idvlyXPVxmPXwLNvJ2W/F0XekLyMM1U1Iqf6+qcqGr9y5srJaiHatAh7/R6B/NwDWvj7+j74piEKU7C4UUpVVCCVWCVZ26A7UYkUjNdQ0IF4VVz7rQPKAbd4EAOw/st93ufSS3k4Z2DpEhJblLbbmKjdhrWXDk3cASVOyYTKhHW+Zn/fwesnuDRs2IBKJ2Jbsvvfee3HRRRelS3YDwNDQEBobG5Xj+4koByGUeFn96w7Upc8vxcqdKwssmUbfkT4MDA2giqqyVtwxiiHJ9jsd4KiTuRCyuTWpuXGgV1TeQn+3t+MeKUTJ7kIhZiUhlLidkPQIma3vbS2aYtA5NHgoQzE01jViwaQFrhSDE/XV9ekwVL/CY3OlovIW6pu9HfdIIUp2FwpRDkIocTsh6XWCiq0YrJjdPBvr3lzny1j9A/1ZnecWTFqQkbdQDCKIVFbewpzbgJipd0Msrh33gUKV7L733nvR3NyM7u5utLS04Ktf/WreskrJbiEUmIu/ual6Wl9djxGxEYFkPFuhKlnhF3rRPL02lN9hslZUURWWzlxa0j4Hz4X3ulZpPob+bm3HMOc2X/wNQVNqhfcEwbL429rX12LuyXNtV8rG1XUYKKRiALTw0gtWXwBA6zRXDAZ5MCtM2G0CYsnSMh+44RWgvU/7WgaKIRfEIS0EgnGnQERZE+vhocNY9+Y6bLxyY/r6O1+4M+fCd+WCnn9Q7GfOXDETF024qCg9IoRwIDsHoah07urEzBUz0baxLb1TUK24+470pVemrRNbMSI2opiiCgb6B/qxcudKKdFdQYhyEHJGn+jPXH4mzlx+ZkZBN9X17c+1e1r96xNPUNVUBWcqKtS1ghCzkpATnbs6seSZJRmhnH1H+vDtZ78NwNrMkEvm8jsH3ylKNVUhdyoq1LWCkJ2DkBPLtiyzLLeQHE4qzQy5rDBPqjspFOUwBGukRHf5IspByAm7iV51LpcV5uzm2WK2CAlVVJXOtZAS3d4odMnuq6++GpMmTcIZZ5yBa6+9Fslk/omYohyEnLCb6FXncllhbujeIGaLkHD5Ry/HkulLsP6K9eha2IX1V6wXxRASrr76auzYsQPbtm1DIpHAAw88kPeYohyEnLBqIgMAsUhMqQRaJ7ZiwaQFnp7zzsF3xGwREBHT9LD29bXlmddgopC5HIUq2f3Zz34WRAQiwjnnnIPu7vxrQYlyEHKidWIrls5civrqo8lYDTUN+JcZ/2K7mlwyfQk6ZnVk3GfHSXUn5aRUhPwxFwashLBVq4RMYxn0fCl0ye5kMomf//znuOiii/KWVaKVhJyx6wJmLoexaOqi9LWtE1uxbMsyx5BWo7NzyfQlWPfmukAb+AjlH7ZqFfygK0U/TGiFLtn9jW98A7Nnz8asWbPyllWUg+A75l4MVpm0dpMMgbIUCgD0H6ns7OgwUO7+H9XvpV9KsZAlu2+//Xbs2bMHP/7xj32RVcxKgm8YO7c5ZdKqJpnGukals7PcJ6YwEYvELH1Kh5KHytrvoPod8+t3r1Alux944AGsW7cOK1asQCTiz7QuykHwBaOtVoXx3KKpi1Abrc04r5uRVA7BRVMXIRaJFeYFCBlcdsplWDpzaVYr0/6Bfl9t8GHD7vfSDwpVsvtrX/sa3n33XXz84x/H5MmTcccdd+Qtq5TsFnzhgtUXuCpv0TGrI70jsPJLAMhqD1obrU3H05/zi3OQGEpYji34ix40YOUb0suHlwJeS3bb+ctKGa8lu0U5CL7g1IdYx9iTwOoPUKVkIhQBMxelh4HgDqOityIsk6znfg5lSkn1cyCiBiJaTUQ7iOhVIvo4ER1PRL8jotdSX0cGKaPgDrc2WWOtJGO4YNvGNsx6eJZy9zHMw6IYQoadeanQIaFC4Qna57AMwG+Z+VQAZwF4FUAbgCeZ+RQAT6Z+FkKOW3+AXa2kcgpTnbF9CD/60SAevnMQP/rRIGZsHwpaJN+xy3uwCwkNgnKwkORDLq8/MOVARMcBmA3gQQBg5gFm7gMwF8Dy1GXLAcwLRkLBC60TWzGiyr7fgu7YK/dY+Rnbh/B3v2aM2q/9gY3aD/zdr7ksFYTX0M8gPvva2lrs3bu3YhUEM2Pv3r2ora11vthAkHkOEwHsAfBTIjoLwGYAiwB8iJl7AYCZe4lotNXNRHQdgOsAYNy4ccWRWLBl/8B+5bnGusa0zXnZlmVl3Zvhi39g1JoK1tYOasefPT0YmQqFXein1WccRDhyc3Mzuru7sWfPnqI/OyzU1taiubnZ0z1BKocqAFMB/AMzv0BEy+DBhMTM9wO4H9Ac0oURUfCCakIwR7YsmrooKyKpnDhBoSNVx0sVuxBPq884qPLesVgMEyZMKPpzS50glUM3gG5mfiH182poyuFdImpM7RoaAbwXmISCI8aIlPqaelRRVVafh9nNszN+1iNWyrUn9N7jNFOS1fFywbgTtEI/HoZoJSE3Ag1lJaKNAL7KzDuJqB1AXerUXmbuIKI2AMcz8z/bjSOhrMFgLpMBAFGKYogzbevGPAWrMTpe7Cg7Z/Tf/TrTtHS4CvjxZwnPnh4NTrA8MSqEsISpCvkR2jwHIpoM4AEA1QB2AfgbaD68VQDGAXgLwBeYeZ/dOKIcgsFt4hvgnDSlTzbl4ouYsX0IX/wD44T92o7hl+eVrmLQlTsA5WdktwAQwoudcgi08B4zvwTASrA5xZZF8I6XyBO31xKoLPIZnj09WhbO54aaBrSdo7kC7fxEflYuFcJB0HkOQgnjJfLE7lpzwpQQHg4mDwKwzlswU+4hypWGKAchZ6yKlFlV83SKUnEz8QjBkBxOpn0LThCR5+5phey6JuSH9HMQckYVkWJ1zM7cICvOcNN7sBeNdY2O/qBhHk5fb+7fYYWbvh9CcEjhPSFwVI7t+up6fJD8ID3pCMEQoQj+dea/Kn0OEYpYfkZOQQiqz72UKr6WOqEtvCcIgLV5qoqqQESiGAoIgZwvwtEdQW1V5mfUUNOAjlkdyrIUTjvCMJXYELIR5SAETuvEVrR/oh2NdY0gEOqr60FEZZX7EDYaahowf9J819d++9lvZ30efUf60P5cO+pr6i3vcwpYKHTXNSE/RDkIoaB1YivWX7EeXQu7MCI2AsnhZNAilTV9R/rwyP884nhdbbQWRwaPKD+Pw0OHwcxZOz8ASAwmbB3Mhe66JuSHKAchNOiRK+WSCBd2zGVOrJh78lzHznv7B/aj/RPt6c5xOvrOQqUgzDvGxrpGSaQLERKtJIQCq1IcQvBs6N7geA2R5rsYERuRVSvL2MPBKoJN/y+ED4lWEkKB7BjCCYFwXPVxjgUSa6O1tordfF7KbYQDiVYSQo9EqBSXKEWzkhWtqK+px+JzFztee3joMCJkPZ1EKBKqrnCCO0Q5CKFAIlSKyzGxY7B05tKMCLEoZRcGPDBwAFvf24pjqo9xHHOYhy0dzKpwZFkQhBtRDkIosIpcsaOxrhHbFm5Dx6wOxKPxAkpWnuwf2J8RIfbMVc/gmFi2AhjkQazcudJVWLHuUDY7mBvrGi2vlwVBuBGHtBAKdNvzLc/c4pj4FovE0uGOrRNbccsztxRcvnLDamK2a/PqhB6CqnIwh6UrnOAeUQ5CaNAnlbaN9t1iR1SNyJiAJIvaG1VUZTkxq9q8qqivrsf+gf2O9bOkK1xpIspBCBWtE1ux9b2tWLlzpfIaY+SMVPG0p4qqwOCM7nyDPIi2jW1o29iW0d1tdvNs2/fdzIjYCDxz1TOurpWQ1dJDlIMQOpZMX4Ipo6dg8cbFyv4OZy4/E411jeg7LCU2jOilR/qP9OOkupOQGEzY+guMlVDd5DQYEYdyeSPKQQglbkxM+eRFVFEVls5cWlatSQFkreRblrc43qOHlXqd7MWhXN5ItJIQWvI1Q6ji7oGjWb1eo6TCTENNQ9YxtxN478He9HviBnEolz+iHIRQowqDdCIejds6qvUOZ60TWzH35Lm5ilcw4tE4pp80XXk+YvrTjUVi6V7PRrwoPyfHfoQiUgOpghDlIISaXFf2NVU1jopFN6M42dqtVuSFZpAH8cI7L1iea6hpwL/O+teMfIJ/mfEvlpO1XtzOj9fAzOha2IX1V6wXxVABiHIQQo2xcqcX+o/0OyoW3eRiZ2tvrGvExis3omNWh6fn50tyOKl0xvcd6ctIYDNP1ua+zADSryHXnRggPoZKI3DlQERRItpKRE+kfj6eiH5HRK+lvo4MWkahcLhpMK9PhNsWbsOCSQtcjVtfU59WLOZS0kCmzdxu0jPa1e18GLlgNg25hUDK902vbtt7sBcMTkcjde7qTL+PuSgI8TFUHoErBwCLALxq+LkNwJPMfAqAJ1M/CwGwZmsPZnQ8hQltnZjR8RTWbO3xdXy7iUw/b54Al0xfgo5ZHY5mkgMDB9IT4jNXPZNeNetmmLknz8WyLcvQsrwFh5KHEIvEssZYMGkBWie2puX0M9lONw3lAoOV79uyLcsci9zlYqoTH0PlEWjJbiJqBrAcwHcBfIuZLyGinQDOY+ZeImoE8AdmnmQ3jpTs9p81W3uw+NFtSCSPJk/FY1HcedmZmDelyZdn2DWYXzR1kWXJBX2SclPiW9Wo3qp3RBVV4ZjqY9B3pA8RimCYh9NyFCLcVZfNz1LljXWNeOfgO5bmKAKha2FX+mddkfQe7E2/XhURiuDl//2yLzIK4SLMJbt/AOCfARh/Mz/EzL0AkPo62upGIrqOiDYR0aY9e/YUXtIK4+51OzMUAwAkkkO4e91O355h12DeaQXsJiZfdY3V2IM8mG53qU+U+orczeTdWNeIjlkd2LZwGwjOIaG6bKpVvJsxrMZ025fZaKp7+X+/jG0LtynHlfIklUlgyoGILgHwHjNvzuV+Zr6fmacx87RRo0b5LJ3wdp91a0jV8Vywm8jsFIfdvW7GV43dP9BvqZDc+BqMtYLcyMbgtLPYWMm0oaYB9dX1Sme0HUSE2c2zc+7LrDLVBRGtJQRPkDuHGQA+R0RvAngYwKeI6BcA3k2Zk5D6+l5wIpY3dj6FMQ3WZbBVx3PBrsG80wrYyW5uNyF6jbqx6lNgxugrceu4NZauWH/Fetw5604cHjycUTuqiqpc7yKGeRiP/M8jWcpM33E51aFSmZjLoVuk4J3AlAMzL2bmZmYeD+BKAE8x85cAPAZgYeqyhQDWBiRiWaP7FHr6EmAAPX0JLH50W1pB3HThJMRjmc1f4rEobrrQ1v3jCbsG83aKw+re+up6NNQ0ZI1j5dRWja1aIevjWUU96RhNXq0TW12vts09li3NXR52EYM8iEODh7KOm539VqhKdudTylsoXULRQ5qIzgPwTymH9AkAVgEYB+AtAF9g5n1294tD2p41W3tw97qdeLsvgTENcdx04STcvW4neixMRFEifG/+WZg3pcnyPr+c0W7Qnaa5lnm2cjzrTm0gu4Q0YN13wBip07mrU1nvyej0tXq2Cv2+luUtOZmTvGKsxGrELkDAyrEvlD52DulQKId8EeWgRhV1ZHY2G/E7Kiko3Ex2ZgU0u3k2NnRvsFVIbidR89iHkocyTEbm+1Tj1lfX48jQkSylVROtsRzPDVZKr+PFjqwKrubrhPLCTjlIVdYyRxV1FCXCkGJhoEcl2SmHoHcVbnByaptX970He7H29bXKydAY/mnGysdh7mGg2sno91n1U6iN1mLxuYsBuNvpuEU3ZxnzOMzj1FfXY/G5i0UxVCiiHMocVXTRELPtDsIuKsm8G9H9FQA8K4hCKhlVZzPdIa0Kl23b2IZlW5Zl7BrszEQRimDuyXMdJ1G7jmiduzqx9vVs95pxXNX4+njHVR+HQ4OHkBxO2sqhoytJq/cB0Jr5iGKoXEQ5lDljGuKWvoWm1ER846qXLXcQdlFJdjkQXiZ2P5WMFapEOn3VbZcrYYwkap3YqpxAAS1KaO3razFl9BRXCsLqGtX4TkUBrXYnurKor6kHMytNT061paSZT2UTdBKcUGDsoo7mTWnC9+af5TkqSbWr6OlL4COLf43xbZ34yOJfY8kadWIVUPhEO7toKMA5pNVL0p25RIVX3E7QdrWozD6OtnPa0qVDzNFZsUgMh5KH0LK8RdnHQQrtVTayc/CBMNvfdTlU8jmdt0K1GwGQ3oUMMeMXz78FAFg670zLa/NJtHMbyWRcWev3LN64OO18Xvv6WlubvTHpzilTOp+VtpMJDLD2kei7GwDKc2ZzVn1NPQ4MHEjvKKyCUqTQniDRSnlSjBpEqucaJ/TzTx2Fp3fssZ3gnZSYWyVn9ZpVEIA3OqxNLTM6nlKavJ5t+5RyTLsQVbOCcHIizz15LjZ0b1BO/HokkZvQ1HxCPt28JrsoKcC6baqVTKpxIhQBM+cUNiyUJhKtVED8sr97wcpWr6/S9Z/Ntnsn+74X+795txGxiXyyW3qcf+qoDLmNx+2wq7vkFB1kvmdD9wbl5G9OutOf7TZayQt2zmqdXHwDVudU1+vNfAQBEOWQN8WoQWTGSiGZMSsolRJrf2w75k1pUp6/cdXLuGHlS6iPx0AE9B1KpncV+up+Qpt9WQYz+g5FZZp6eod9IUW3k6SdE9l8j5vJ2cpElWuCnhUqZ7WOk+nJySzldhxBAEQ55JlskdUAACAASURBVI3K/u5XDSIrU49qUjVjVFAqZdWXSGLN1h7bkFf9Op2evgRuWq2VcJ43pcnWB1FXnensXrJmGx56/i3bHUVPXwIT2jqVpi23k5sbH4DxHqfJ2YiXa/3CKfrK7pyXcQQBkGilvClkDSKr+kc3rHzJdTFnBtIF9ZxCUxtGZDe7sSM5xLj98e0AtPcgFsmWKkLA56c2pYv7Tb59PX7hoBiMspvrPek41V3ScbMSLqUJ0S76yikyy+04gqAjDmkfKFS0ksph65V4LIrLz26ytO8DmtO4Ph7L2B14pa46imFmJJJa7f+RI2JobWnEI5t7XDmu7bByULsx6zj5HBZMWoAl05fkJZsglDLikC4w86Y05aUMVMrFq99CVRIjkRzC0zv2YOSIGN4/lK0AxjTE8/aRHBwYQoSAL00fl46acjIfucVKtmT/ZBx8vQ0f9CVwbEMcyY9k79TMTmRzh7dCr5QL4ZcQhGIhO4eAUYXCXn52E1a8sFsZBWQmFiXUVVcpV/8E4J4Fk5Vht3YO4qAhAsBIK04AvoUPF2oC9xJuKwhBIVVZQ4zKdJSaD11RVx3FwOAwksPqO0aOiGHrbRcodylrtvbg+pUv5fYiiggBqI1F0uYrM00ezHqFnMCl/HXI6VoFPHkH0N8N1DcDc24DWuYHLVXREbNSiFGZc7yo7MPJYccdhn5aZQKbN6UJt/5qGw4O5OcfKDQMKBUD4K0+k5fCe16RekUhpmsV8Pg/AsnU317/bu1noCIVhAqJVgoYP0Je3Zie9JBVM8ZWoWFXDG5xW5/JTeE9p9aaKpzanAoB8uQdRxWDTjKhHRfS2O4ciOg4AKOY+c+m4y3MLKmUPnDThZOy7OdeTEqA2hGd9azVL6P9se3oSyTT93h9VqngxsHuVC/JKuvaCa89H4QA6O/2drxCUe4ciGg+gB0AHiGi7UT0vwynf1ZowSqFeVOacOdlZ6KpIQ6CZjO/evq4rNwJFfFYFFedO9ZV7kNyiNMOa12ZlKNiANztyKzyJcx4MQPpPgyVr0Gc0SGhvtnb8QrFbudwC4CzmbmXiM4B8HMiuoWZHwVc52EJLrDyA7yx5wCe/bNt6+wM56sqh6EScZuE6FQvCfBmBlKV6xAndMiYc1umzwEAYnHtuJDGTjlUMXMvADDzi0R0PoAniKgZ5bvgDAVL1mxzVAyAZjq5e91O/OcmUQxGaqrcu9L07GKnwntuECd0iaA7nSVayRY75bCfiD6i+xtSO4jzAKwBcHoxhKtUfvmCu8leLzER1vyEoOhLJB0jlrJDeiej/RPteeU8SEG7EqJlvigDB+yWWO8DGGM8wMwfALgIwLWFFKrSsUlXEFxiF7FkVbNq8aPbkOyfjPVXrEfXwi6sv2K9Z/+A25pPglAK2CmH9QD+DxG9SUR3EdFkAGDmJDM/VBzxygtj2KheEE8oHD19Ccv3uFDtSaWgnVBOKM1KzLwMwDIi+jCAKwH8lIhqAawAsIKZX8vnwUQ0FsD/A3ASgGEA9zPzMiI6HsBKAOMBvAlgPjO/n8+zwoCXZjpxRQZwPBZBbSxqWR+pEomQVjDQ7v2weo8L2YMjiFLeglAIHD13zPwXZr6LmacA+CKAz0MLcc2XQQA3MvPHAEwH8E0iOg1AG4AnmfkUAE+mfi55vKxW77ysxfKDufzsZpRBtRPf0M1vVuXCdRLJIVy/8qWMnZoqzNWvHhxFo2sVcM8ZQHuD9rVrVbjGKzalLn/IcFQORBQjokuJ6CEAvwHwPwAuz/fBzNzLzFtS338A4FUATQDmAlieumw5gHn5PisMeFmtzpvShC9OH5cVL/zI5p68ymqXI+8fStrWlNIx9oYoZA+OoqGXgOjfDYCPloDIdUL0e7xiU+ryhxC7JLjPENFPAHQDuA7ArwF8hJkXMPMaP4UgovEApgB4AcCHDCG0vQBGK+65jog2EdGmPXvs20oWAq/+A6+r1ad37MmKF863L0KlY2ydak48zKWia6D4XQKi1EtKlLr8IcQpCe6XAP6JmZ2D7nOEiI4B8AiA65l5P5G7/Dpmvh/A/YBWlbVQ8lnhxX+gY1UmIx6L4vxTR2FGx1N593IQ3KG/r8be2nq+iPF46PG7BETQJSVyqZJqvEeVeiUlMXLGziF9fqEfTkQxaIrhoVTmNQC8S0SNqbyKRgDvFVoOr6j8B9evfAm3P74dzEB/Ipkx2ZsnozENcZx/6qiMTmlGJWPXl1nIHX2nlouCDxX1zSkTisXxMIznBasqqY9eB7z1PHDJ993do0JKYuRMYFVZSdsiPAjgVWY2/gY8BmBh6vuFANYWWzYn7Fb17x9Koi+RtOyBPG9KE55t+xTe6GjFs22fwtM79iid1FZ2ccEdsaj17tPoVyhUOGvRmHObVvLBSD4lIPwezwtWJiEwsOknap+B5T0mpCRGXgRZsnsGgC8D+BQRvZT6/1kAHQA+Q0SvAfhM6udQ4SWqxTjhrNnag8m3r8f4tk6Mb+tU7gx6UmaOy89uQpOPETSVUhCryiJ6iQBcfra2I7DrzV0y5ryW+cCl9wL1YwGQ9vXSe3PP+vV7PDfo0UVWOxYAAKt9BrbmoiLJX+ZIJ7gcsGrtaYfeovOm/3zZVWSN8b6rp4/zrRdzpTNyRAyHk8O2n1tTQxzPtn0qo7xGfTwGIqDvUKapUMgDt2YhQJvozT4IlVKpHwvc8Io/nd4qoFuctAn1mTVbe9J9Edygr/7FhxBu9D7UQHaPaqvrREHkge2OwYJYPHMnYKVc9GsA9Tm3k7vd+GWkIOyUg3SC84i+a3CrGHQ7tyiGcGMMZ7XyRxgpKd+EnzglmXlJQvMaRWQOS7Uzg/kR1iqhsdJD2iuqiSNKhGFmNIyIWUYr3bjqZVfd2oTiEyXKCGd143coGd+EW5xMKE59l732ZVZFR1EUYIViNisUVWVV1Y7Ei0IKOrQ3BIhy8IhqUhhmxhsd6po6ohjCi/7Z6NFl9fGY484wQoQ1W3vKw7SkCiV99G+P2vvtVtJuVutmxaNquHPpvalrrRRHRJPVzqzTtQrKRrtewlqDDO0NCWJW8kgudXnWbO1B1GVynxAsieQQiOAYRjzEnBGmHFrcmHpUoaRASlH8rc1qfLc2tt15q7IWgNosZBVWC2g7CqeSGE/eAeuEOPIW1hpkaG9IEIe0R6wilWIRwjG1VZbRLF4jm8LMebs345o//QajEn3YE2/Az067GH8Ye3bQYvmOHl3mJuhAj24KJW6dqu0NKFhzR5WZSI8qUtG1CvjV17zfa/da2vsdxc2SoYKjlWTn4BFzXZ6GeAwgLfnNKvFN5aMgqJO1nBg5ImZbibQQnLd7Mxa9tBofSvQhAuBDiT4semk1ztu9uahy+EVDPIaRI2KW58Y0xDFvShPqapytrqH2Pbh1qhbKVBKL2/gPdtvvaFrmA5xdtl6718bur3ot9WOd5TXTMl9TQu192tcyUwxOVLRyyLX5jjHTua6mCsmhzJWKMZrFbvK4+4qzcpK7taWx6Blt1/zpN6gdylxF1w4lcc2fflNcQXzi4JFBtLY02lZndTPxh7rMt1unqsqMkzMGM5HdpGw0Na39ZraCUE70NsrslAu8HReUVKxyULWK9GpDtstyBux9FPOmNClXryrisQhWvLA7SyEVmlGJPk/Hw05ymPH0jj221VmdJv7Ql/lWTqKcuVrPCAsFnFceBMSPVzxzbOZK263iGRoAfnNz5rFc7P6vrbc+vulB6fHgkYpVDn7V1lE5mvXj5586KutPTZ9U1mztwYHDg56eNzjMgUQ+7Yk3eDpeCjjtDKzqW+mfZUmU+babmM39DtImlH7gsvvVkz8AgIGERXPGaDUwcDDbVFRlkMFu3ISp+HMuJT3sTE56FNYT35LGQC6o2FBWv1pFqibqIWas2dqDRzb3ZLnHpo6rx7wpTZjR8ZSnchoAir5j0PnZaRdj0UurM0xLh6Mx/Oy0iwORxw/q47GsyqzXr3wJ7Y9tR/vnTrespFtSpTP0SVQVGmoMRTU7X0//PND1sDbZW2L6PayuAwYHjk7w/buBNd8AiLRdgc6gRx+NOZchXY9J4SRWhaAa5d70ILDl/wHDyaOy2uVkVCgVqxxUJbG92pCbFOM0NcSVzujn/rwPa7b2hNuZaUKPSiqXaKVYhEBk3UCpL5HMKN9dMsrACn1yVUXx9Hdb5zlsetDbcwYOZY8/bBHplUxo+QpWzmbb3Qq0Ff+mnyAjzNY8qVvlT1hhls2oKAUAFWxW8qtVpN04qsmfoa1GQ+3MtOAPY8/GNRcuQeu8f8M1Fy4pWcXQEI/h7i+chb5D6jDVkiqR4cZEYufcdVP+2hEPO1oeBiImX1skBlx8l/qerlWZikHHqqxG/Yfdy2LES62nCqBilYNfrSLtxrGb/N/uS0jPhgITixIa4rF0yPHIEdr3eoiqk3Iu2s4uH/v3E9/S7OhOvZPtnLvFLglRPxaYd1+mL2HefUfNW1bvhTK5DUfDYrtWaf//uiM3uUj+Fo1IElwBWbO1BzesfMnyV7opZb82JlqNHBHDdy49HdevfKm4gpYx+vts1aL18rObMjrxWd1b8AS3fKp/dq3SFINlqQiLRDFVUpfXCqn5opuVzKW4rd6LSAyoOTbbWW1FJKblVajyI9zgNVGuxJGS3QGyZM22rH4MqolJ79/wi+ffKrqc5czIETG8b2FC0hXH7Y9vzzpvLN9dUIe0U1+CXO4FAJAWUqrCqCjiI4GBA5mO41yxK5ynIlYHJA+llEaBKwnUj9Wc7FbKxs9eEMXABzntlEPFOqQLibFRzJiGOK6ePg5P79iTMcFYOasZwEPPv4VYBEjmsfgRMrFSDIAWnWRUDHq5Nl1pACh8n+lcqn+mJwWb1b7Rx2CeRE65AHj5l0dX6Il92qo7frwWohofCRzuy20FnsvknjyY+71emPBJYOFj6t3anNu8V5cNiiLIWbE+h0JhlVz3yOYe3HThpHTv6HlTmmyd1aIYiodRcTC0KCZdMdy46uXC95n2mgWsTwpOZiA9USzj+pRPYtNPsh3Qw0ktHFXfbeRjmgkr+3ZpX1X5E4BWz6kU+jgUod+EKAefcZtcVx/3lhktFIfkMKP9se1Y/Og2ZQ6Lr45qr1nAbiKLYnWZOQ6qiqtm9N2KG/t+KWLcjZnrJgGaEnWqBRWWZLki9JsQs5JP6KYkt43rpYJ3eHGqxJoR5ZSP3Ve/N5k4aqu36pdsxM0ff/KgNpF5jUQq914F8ZHaV6NZTn/f3fhKwmRiKkK/Cdk5+IDRlKTCHDZpF2MvhJeMXBgrk41TvwEds3mIh47uGOwmHrd//HofBiXm1Qlp99w1wd34pciRD7TQX/P7bvzqhJ3pppglOYrQb0KUgw1uq7Y69Ry2Sq5r8FhwTygOsQgpiyFGiTJzYfKx++Z6r+cKqhYmpFgcmHatqdBe6rpyNSkBml9l88/yT/izMjHls1DIhVzqTnkktGYlIroIwDIAUQAPMHOH388wRxXZNemxi1Sxs0GPTPWUvmHlS7h73c60kvBacE/IHUXTSC1Bjo46peOxCGpjUbx/KJl1jx7amvHZ52P3zfXejHpJqTDUwSNHI37c0HwOcMn3te+LneMQNH5FRJlNTE5tVAuBqoe2T4Ry50BEUQA/AnAxgNMAXEVEp/n5DKeS3V6qtqoybUeOiOFwchh9icxGQLc/vt1zwT3BOwTgS9PH4Z4Fky1LnLR/7nRsve0CvNnRih8smAyA0oqC4aICay79BvK5VzdbPHqd9vO0a7WvXhQDALzxX0B7feUpBsDfLGjjTq8IDuJiE0rlAOAcAK8z8y5mHgDwMIC5fj7AafL3UrVVVV+JObuwWyI5pIy7F/KnrjqaLmNyz4LJWDrvTFelUlR5J3qWdIZiSFcG3Y0s271bu69Xm7FlSOqD+ZmBylkxxOqsj/tdIkMvXEiKqbSEnfxhNSs1ATD+5nYDONd4ARFdB+A6ABg3bpznBzhN/l6qtqpKO98gZTAKBgH4xEeOx3N/3pdh/hlmrf8zoH0eN6x8Kf152JXCcL0YyEqg0vcY7BxpZMRsHnKKdPKlOF4FkTxkfXzYRRa4lyzv+Eh1CKyTsjeaBgEtATFEGdlhVQ5WgZ4Zdhhmvh/A/YBWPsPrA5wmf1U9HlXVVqvSzqrQ1oZ4DEcGh22d2II9DODNvYksX0IiOYT2x7ZnvL9uMpsbFCU2shYDqrwBN+UuzHixGZeweSIY8jDbRqIAR50Vib7zs1LaFFU7iM0LDOPuL0ThsmE1K3UDMDafbQbwtp8PcCrZ7UfVVtUz2j93esbYbiAAP1gwGU0lVua7UDQ1xJWr/b5E0lNms6ojXyxK2YuBoGzLJWyeKDmGBtSKgaLIiA6y6ogHaBnmue4CQ5KRHdadw38DOIWIJgDoAXAlgC/6+QA3Xb7ybfTi9Az965Q71jv6IfSe0/OmNGVFUlUauhK3Kphnh0qZ3L1up2WAwOAQZ0SZzZvSVJTkI0vm3OaQt5BC1UhH8AcezixoqKpxZff7kE80WxEJpXJg5kEi+nsA66CFsv6Embf7/ZxidPlyeoabPtIEpFewevhtIjmEKBGGmBEhzdZeCRiL4qlW+8fUVLkzEaWwq3MFmMxSVp3GfE4+sqRlPvCbm20c0KRFL42bDqz9pj8VVnXix2uNeFrma0ly5ZwL4YR50s/l98GxlanFcwIgrGYlMPOvmfmjzPwRZv5u0PIUCtWq1cjV08dh3pQmLFmzDTesfCntxxhiRjwWrQjFEI9F8YMFk9ORQ6r3ra66Ct+59HRPXf7cdORLm6X8Tj7yklV78V3WCXDx44HL7tdyF35zs7+KAQBO0kqXV7xiiMSyJ/1cfh+cEhmLsdhwQSh3DpWEmyJuS+ediTVbe7L6QgDWPZDLhSgRhpktTX6q960/kXRlMjRiFXxgRfqZfiUfeS27nBHhZKgLVF13dLxCTN5v/Jf2v+JJmeus6ml5CUawSmQEJFpJyEQVNaUTTVXou/3x7fnEX5Qk35t/lnJCd4o282IyNCuTSMpcpxrbN5yyau2K+pmVyppvSDVH31Dk1A8PAU9cr/kd3Cp01WdY4OxmPwitWalScOojPcSMNVt7yjJxLmIzlxHsG+o4RZt5Zd6UJjzb9im80dGK780/y9exlaYju8gnu1o9VkplOOm/OalisVmGDRx0XxOr2PWWfEZ2DgGjT4A3rnrZcrXa1BD3t7lMnqjqFOUCs1bPKGHR3YihOd9VCsKt6ciufpYKr2YpW+xMR3aRT3a7ihBEsggmrD7HIOot+Yj0kA4JVuGperG3G1a+VFSTUlRhVgG0WkWPbu7GIR/a1em5CqrXZlnszgN272mho9TS2PWIVkW6XHpvqn6S1TtD7qJdhOJCUeA7Jn9PewOUn6Fdf+8iYtdDWsxKIcEu6c53W7cDV507FjGFzecXz7+FkXU1OGW0onaNS/QEM7vXlm9LTlX9rNsf9z0qWo3SdLRbW0Ge9UXrSBdVKGNshGbaEMKFVfmMfAozhgAxK4UIlRPVbTSNHzTEY1g670x0dvUq/Rw9fQnXmd0q6qqr0q/V7rV5aclpNiGpHP3vH0ramqx8xW6V378bePmX1qGPc27TnMzDps8gedB7FVah8NSPzT4WVE6MT8jOoQTQdxXRAkej6KU9AOdOdfmaufpTrTidXpvbXZNVCXa7d6tofhynmHaVM7NlPlBzbOHkCoj+N+N47bHRePXhRrz22Gj0v1km5WCMDYCMpdWr4loeSoEa8hQS2TmUCPOmNOVd5TUWARacMw5P79iDt/sSaEg1IupPJLOcrk4htm6IxyIYGGTHsFDVDsJNhJBd7247BeZlR5IX5twEK1SmJ1XdnhKl/804ev+7HjykrUkHD1Wh97/rAQD148ug4qwxpFiPHEvs0xYHl91fMkpBR5RDCaGasKNEmD5xJJ79s30C1DATls470/E5a7b24OAR5051TpFLh5PDuGfBZFeTfi4RQvnUmCqqH0ePaVc6p21s014cz/HjvXeFKyLvdR2bVgw6PBTBe13HhlQ55BCbZzYDAiUVoWREzEolxE0XTkIsmmksiUUJ35t/Fh762487Vm1VRSAZ0SfcvoRzXsWI6iga4upe2HqxQLfVbY25BlkNdixw6t0NaN34fM1ZyAevDX689IumKHD650OrGABg8JB1Po/qePD4GCNYguHHsnMoNcy/r4afdYf2Rxb/2lIRuPFZqCZcXQkYlcbBgSHEY1p46yObezLuI2h2/xkdTzk22vGC0ens9Kcbj0XxnUs1H4ovOQv54rXBjxuTlM74mcCmn3gQxvi7UJxA6aoRQxg8lD3lVI0o3xIwaUokQsmIKIcSwqrYXHKYcfe6nRmT3VXnjsUvnn8r6/6rzrWIqDBhV7NoTEM8a0eRSA7h6R17cOdlZ6Zt/8bNuJtGO27xYkZqarAujx44Xssm6NcrY+YBTPsK8Np69XlLGLjsP4Ctvyha3aTRLR9k+BwAgKLDGN3yQVGeHxglFKFkRJRDCeG2laXuV1jxwm4MMSNKhKvOHevK32BXs8ju+fquZUbHU1n3J5JDuHHVyxktO3OZrN2YkYqe5JYLXasyy28bS2KrUGZTpxR+LklxbvpD+IjuV3iv61gMHoqiasQQRrd8EFJ/Q57Uj83eHdrVygohkiFdQlhNvIC2SvbTbKPKKlZFBemrdNV5M7lO4BPaOpVrYwKCNRm5pWuVdb+FSAyYd596ssjqXa3fV+2uL7JQPCiqFeczKwbz5xeJaeHKAVZjlQzpMsHvYnNW2DmQVc8//9RR6RwDN+Sa+ayKMGpqiLt2YgfOk3dYF8gbTtq3htT7BsSPN90niiF08BBcF0tM7Mu+NiSIWamE8LUgnMNzVNFEVs93Y+4xk0uegVWmuFvlmEsBvoJgF7XiFNHSMl+bZCq54U6osQh99VIsMWQhr6IcSoxitDb1+ny75DxVEb9c8gxyVY5mU5mfTnLP2OUuOEW0dK2SgnthJX68WmnrPgY3n12IQl5FOQh5o3Ji676IXFf7VuSiHFUF+MxRXkVhzm1qn4NdRItusxZyI1qjmXE4/2rCiMQyk92cclHiI90XS9S7woUA8TkIeWPnC/GSBFco3EZ5FYWW+cDcH2X6DuLH2zujAWubtYpIdX4yliNDR/xRDIDmRDbXS7IrdXLkg5I0BcrOQcgbJ3NP0KYwp5aiRSeXFpFezA3ipC4siX1I+xcGDmphyao4OopYl9RQjh2eelqiHARfCFoB2OG3aSsQpMFPMFBEseNIKQO7HUEs7n63pxOiTOpAzEpEdDcR7SCiLiL6FRE1GM4tJqLXiWgnEV0YhHx+s2ZrD2Z0PIUJbZ2Y0fEU1mztCVqkiiIMpq288VJnSfCPXE1RurnJqs+DipBlUge1c/gdgMXMPEhEdwFYDOBmIjoNwJUATgcwBsDvieijzFZtlkqDUEXKVDBh3tm4QjdDGTOrheKg3D0obwBueOXoj1bJi0AokuDsCEQ5MPN6w4/PA7gi9f1cAA8z8xEAbxDR6wDOAfDHIovoG6GKlBGKSyHKJQwc8Ec2wT1edw9G05C5eCJFtSQ5vYd4iJSBmTD4HK4FsDL1fRM0ZaHTnTqWBRFdB+A6ABg3blwh5cuLQkXKhCapq9JwO+GbyyXoGbBA7hOCKrtaCA9WpqFcAhBCQMF8DkT0eyJ6xeL/XMM1twIYBPCQfshiKMswAGa+n5mnMfO0UaNG+f8CfEIVEZNPpIxVS8zFj24TX0aheeJbWuvH/t1wLHlgFXqqagnq9tn5OqTNpTd0SCLa86f02oA6UbDfCmb+NDOfYfF/LQAQ0UIAlwC4mo9W/+sGYPTgNAN4u1AyFoNC1EOyM1UJBaJrVapfgqI8ghlV6GkuGbBPfAvY9KDDRS76i198l3Wzoc//WK04BO29sQsGqB8LtPdpfoYyUQxAcNFKFwG4GcDnmPmQ4dRjAK4kohoimgDgFAAvBiGjXxQiUiZUSV2VwpN3QBnLbjXh27X+9Mrmn9mfj8SAadc6R8bouxlKLVb0le5bz4uTW0UsrilVq6KH+vkQRRj5SVA+hx8CqAHwO9K6kz3PzF9j5u1EtArAn6CZm75ZypFKOn5HyoQuqasSsDPpWE34c27LjlLJdSKx+xMw94Jor1dfq78GHgJAwPETJfrJCaOZqAR7MuRDUNFKJ9uc+y6A7xZRnJKjLJK6SomuVVA3myfrCd9rS1A79AgXq+M3v5F5rH6sS98EF60DXMlSPzb78zJ/rrpJsQwVRBiilQSPFKt0t5DCzqQ07Vr7HtB+TBpnX2Ptczj7muxjVjsWwTvRamulX4gotJAiyqFEKfmkrlLCzol8yfcL/3z9GZt/pu0gKKopBtWzqwxlG3Q7uWfTEWmKz9ERXqZUH2M92dtFoRVTORTBvCXKQRCccOrfXAwu+b6zIrJqRTmYAM76onWklR3TrtWe99r6wtV0UpnLwoCqAJ4yCm239v4XQ0EUafciAc6C4IRVXaMwRqmoVrWvrQcmzHY/Tvz4o4qokDWdTjilMOPqnHgqskJ8Y3EgVud8by7RZsVq8+l3Do0CUQ6C4ITev7l+LEKd7GS3qu12GxFOWvSTTsZr95m/7vB/TCP9fzGE+Bo+t0t/oPkUlCiCDAB7ZVmACdoSP3NobBCzkiC4oRAlEPy2G6vMXxT14KBm6widlvnAXRNKK+w1mQC2/yo7okvn8euBpEWHtgmz7YMMAODRv7U+X4w2n0ozp7/lvmXnIAhBoNuN3ZTicIvK/OXFrm+3QwhRIxrXJPZp72nXKuCeM4D2Bu0rAIxQZIXv22U/Zst89ftUjH4MRTJzys5BEILAr6gX8+7jrC8edSLrOwa3jl+7CaZrVap0dQAOZM8ls0385mbNMW904D56HTxlvJvxM8nRK37m0NggykEQgsAPu7FV1MrLv9QUxMu/duxJogAACVNJREFUPHrc7YSu8qPozwlCMeilrVVmHDdYmsJsIrfcrP6LNEHbPr/AzxLlIAhB4IfdWLX70PMhzNjtIMzZwMYdSVA7Bt0x3DJfq//kNRzX7TOMYxpX/04+oRItxe0W8TkIQhD4YTdW5R+oJnIeBi77D+fnmv0hQSmGaddq395zhqYY4iMLUD2WraPQCuETKjFk5yAIQeCHWcJrEll9s7vnWu1IioHuW9BNSUCm2SyxT1Nk8eP9i5qqH5vZ0lMnLJnQASLKQRCCIl+zhJ1iiMXVzlKn5+YSjum1TIfV9Tx8VM6W+dqOwWqCroprZcqHk97lNGK3UytSLkGYEbOSIJQqynDKsfkl7eUSjnnxXUC1i8xj4GiPBKvrjYlkqok48T5Qc6w3+WJxYNpX3L8nfvbjKFFk5yAIpYpdOGU+u5Jco4PcrKr1HYObUFI7p73ts0jzTwCaIsnFZBdkqGpIEOUgCKVKocIpW+Z7bwL05B3qydyIMd9Ahb46V5UfHzioTf5W8ql8CF4JOlQ1BIhyEIRSplDhlBfflT0xR6uBoQHr6/u7gcvuB9Z8Q+0LcFvG45QLtK/66zIrqsQ+zedglsfNyt5LyZIyD1V1QnwOgiBYl5cw+y3m/kgdSqpHQil9AeQ+suq19Ue/b5lv7ZsYTmo9F7z4VSQ81ROycxCESkfVH+DSe61NNHa2eGX9JXbfwtTsT7BzTKuK6lkh4amekJ2DIFQ6qknzV1/LXlU7lS9XRvmMdd8bwjyGX5FDEp7qCdk5CEKlo5oceci6w5idLd4pggo4avOPjwSOfJDpo7DyG/gVOVSkUtflguwcBKHSsZsc7RrYmP0UeptMu51Fy3zNVNXep5mE5t3n7Dfwq9mSaucycFD8DhYQs9+FrIrPtGnTeNOmTUGLIQiliVXv6QxIm8yd7onFw9khz0jXKusw3VKQvQAQ0WZmnmZ1LtCdAxH9ExExEZ1oOLaYiF4nop1EdGGQ8glCRaCvzClqfd5qZ1GkPsa+o4p+KgXZi0xgPgciGgvgMwDeMhw7DcCVAE4HMAbA74noo8yBlIUUhMpBXzG7te2XsnO3lGUvIkHuHO4B8M/IzKGfC+BhZj7CzG8AeB3AOUEIJwgVhxfbfinXHipl2YtIIDsHIvocgB5mfpmIjKeaADxv+Lk7dcxqjOsAXAcA48aNK5CkglBhuM0KLuXaQ6UsexEpmHIgot8DOMni1K0AbgFwgdVtFscsPebMfD+A+wHNIZ2jmIIg5EIp1x4qZdmLSMGUAzN/2uo4EZ0JYAIAfdfQDGALEZ0DbadgrEPcDODtQskoCEIelHLtoVKWvUgU3efAzNuYeTQzj2fm8dAUwlRmfgfAYwCuJKIaIpoA4BQALxZbRkEQhEonVBnSzLydiFYB+BOAQQDflEglQRCE4hO4ckjtHow/fxfAd4ORRhAEQQCkfIYgCIJggSgHQRAEIYuyqK1ERHsA/KUAQ58I4K8FGLdYlLL8pSw7IPIHjcjvjg8z8yirE2WhHAoFEW1SFaUqBUpZ/lKWHRD5g0bkzx8xKwmCIAhZiHIQBEEQshDlYM/9QQuQJ6UsfynLDoj8QSPy54n4HARBEIQsZOcgCIIgZCHKQRAEQchClIMJIrqbiHYQURcR/YqIGgznSqKFKRFdlJLxdSJqC1oeJ4hoLBE9TUSvEtF2IlqUOn48Ef2OiF5LfR0ZtKx2EFGUiLYS0ROpn0tGfiJqIKLVqd/9V4no4yUm/w2p351XiGgFEdWGWX4i+gkRvUdErxiOKeUNYu4R5ZDN7wCcwcwtAP4HwGIgq4XpRQDuI1I13Q2OlEw/AnAxgNMAXJWSPcwMAriRmT8GYDqAb6ZkbgPwJDOfAuDJ1M9hZhGAVw0/l5L8ywD8lplPBXAWtNdREvITUROAfwQwjZnPABCF9rcaZvl/Bm0eMWIpb1BzjygHE8y8npkHUz8+D62nBFA6LUzPAfA6M+9i5gEAD0OTPbQwcy8zb0l9/wG0iakJmtzLU5ctBzAvGAmdIaJmAK0AHjAcLgn5ieg4ALMBPAgAzDzAzH0oEflTVAGIE1EVgBHQ+sCEVn5m3gBgn+mwSt5A5h5RDvZcC+A3qe+bAOw2nFO2MA2YUpHTEiIaD2AKgBcAfIiZewFNgQAYHZxkjvwAWk/0YcOxUpF/IoA9AH6aMos9QER1KBH5mbkHwL8BeAtAL4B+Zl6PEpHfgEreQP6mK1I5ENHvU7ZJ8/+5hmtuhWbueEg/ZDFUGOOAS0XOLIjoGACPALiemfcHLY9biOgSAO8x8+agZcmRKgBTAfw7M08BcBDhMsHYkrLNz4XWYXIMgDoi+lKwUvlKIH/TgfdzCAJVC1MdIloI4BIAc/hoIkiptDAtFTkzIKIYNMXwEDM/mjr8LhE1MnMvETUCeC84CW2ZAeBzRPRZALUAjiOiX6B05O8G0M3ML6R+Xg1NOZSK/J8G8AYz7wEAInoUwCdQOvLrqOQN5G+6IncOdhDRRQBuBvA5Zj5kOFUqLUz/G8ApRDSBiKqhObIeC1gmW0hrJv4ggFeZ+fuGU48BWJj6fiGAtcWWzQ3MvJiZm1ONq64E8BQzfwmlI/87AHYT0aTUoTnQujGWhPzQzEnTiWhE6ndpDjS/VanIr6OSN5i5h5nlv+E/NGfPbgAvpf7/X8O5WwH8GcBOABcHLavNa/gstEirPwO4NWh5XMg7E9o2ucvwvn8WwAnQojZeS309PmhZXbyW8wA8kfq+ZOQHMBnAptRnsAbAyBKT/3YAOwC8AuDnAGrCLD+AFdD8I0loO4Ov2MkbxNwj5TMEQRCELMSsJAiCIGQhykEQBEHIQpSDIAiCkIUoB0EQBCELUQ6CIAhCFqIcBMEHiOgP5mqZRHQ9Ed1HRL8loj69WqsglAKiHATBH1ZAS4AzcmXq+N0Avlx0iQQhD0Q5CII/rAZwCRHVAOkCgmMAPMPMTwL4IDjRBME7ohwEwQeYeS+0kgZ6jf4rAaxkyTIVShRRDoLgH0bTkm5SEoSSRJSDIPjHGgBziGgqgDinGhgJQikiykEQfIKZDwD4A4CfQHYNQokjykEQ/GUFtB7MD+sHiGgjgP+EtqvoLlaDeEHIB6nKKgiCIGQhOwdBEAQhC1EOgiAIQhaiHARBEIQsRDkIgiAIWYhyEARBELIQ5SAIgiBkIcpBEARByOL/A6+a+/CzquhPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画出中心点\n",
    "fig3 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y==0],X.loc[:,'V2'][y==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y==1],X.loc[:,'V2'][y==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y==2],X.loc[:,'V2'][y==2])\n",
    "\n",
    "plt.title(\"labled data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0]\n"
     ]
    }
   ],
   "source": [
    "#预测\n",
    "#V1 = 80 ,V2 = 60\n",
    "y_predict_test = KM.predict([[80,60]])\n",
    "print(y_predict_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0    1149\n",
      "1     952\n",
      "2     899\n",
      "dtype: int64 2    1156\n",
      "1     954\n",
      "0     890\n",
      "Name: labels, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "#训练结果 准确率\n",
    "y_predict = KM.predict(X)\n",
    "print(pd.value_counts(y_predict),pd.value_counts(y))#预测结果的分类数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.31966666666666665\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "accuracy = accuracy_score(y,y_predict)\n",
    "print(accuracy)\n",
    "# 分类与原本的相反 所以准确率很低"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画出预测结果检查\n",
    "fig4 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y_predict==0],X.loc[:,'V2'][y_predict==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y_predict==1],X.loc[:,'V2'][y_predict==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y_predict==2],X.loc[:,'V2'][y_predict==2])\n",
    "\n",
    "plt.title(\"predict data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "fig5 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y==0],X.loc[:,'V2'][y==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y==1],X.loc[:,'V2'][y==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y==2],X.loc[:,'V2'][y==2])\n",
    "plt.title(\"labled data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "plt.show()\n",
    "#蓝色和绿色互换位置了(因为是无监督式学习,没有预先设置标签,需要矫正)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2    1149\n",
      "1     952\n",
      "0     899\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "#矫正 把label对应回y的\n",
    "y_corrected = []\n",
    "for i in y_predict:\n",
    "    if i==0:\n",
    "        y_corrected.append(2)\n",
    "    elif i==1:\n",
    "        y_corrected.append(1)\n",
    "    else:\n",
    "        y_corrected.append(0)\n",
    "print(pd.value_counts(y_corrected))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.997\n"
     ]
    }
   ],
   "source": [
    "#再看看矫正后的准确率\n",
    "print(accuracy_score(y,y_corrected))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "#列表转换\n",
    "y_corrected = np.array(y_corrected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画出修正后的\n",
    "fig6 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y_corrected==0],X.loc[:,'V2'][y_corrected==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y_corrected==1],X.loc[:,'V2'][y_corrected==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y_corrected==2],X.loc[:,'V2'][y_corrected==2])\n",
    "\n",
    "plt.title(\"corected data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "fig7 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y==0],X.loc[:,'V2'][y==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y==1],X.loc[:,'V2'][y==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y==2],X.loc[:,'V2'][y==2])\n",
    "plt.title(\"labled data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# KNN 模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(n_neighbors=3)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#预测\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "KNN = KNeighborsClassifier(n_neighbors=3)\n",
    "KNN.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2]\n",
      "knn accuracy 1.0\n"
     ]
    }
   ],
   "source": [
    "#预测\n",
    "#V1 = 80 ,V2 = 60\n",
    "y_predict_knn_test = KNN.predict([[80,60]])\n",
    "print(y_predict_knn_test)\n",
    "y_predict_knn = KNN.predict(X)\n",
    "print('knn accuracy',accuracy_score(y,y_predict_knn))\n",
    "#结果是1 全部正确..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2    1156\n",
      "1     954\n",
      "0     890\n",
      "Name: labels, dtype: int64 2    1156\n",
      "1     954\n",
      "0     890\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(pd.value_counts(y),pd.value_counts(y_predict_knn))\n",
    "#数量一致"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#画出KNN的\n",
    "fig8 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y_predict_knn==0],X.loc[:,'V2'][y_predict_knn==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y_predict_knn==1],X.loc[:,'V2'][y_predict_knn==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y_predict_knn==2],X.loc[:,'V2'][y_predict_knn==2])\n",
    "\n",
    "plt.title(\"KNN data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "fig9 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y==0],X.loc[:,'V2'][y==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y==1],X.loc[:,'V2'][y==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y==2],X.loc[:,'V2'][y==2])\n",
    "plt.title(\"labled data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Meanshift算法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "30.84663454820215\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import MeanShift,estimate_bandwidth\n",
    "#设定区域\n",
    "bw = estimate_bandwidth(X,n_samples=500)\n",
    "print(bw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MeanShift(bandwidth=30.84663454820215)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#训练\n",
    "ms = MeanShift(bandwidth=bw)\n",
    "ms.fit(X)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "#预测  结果\n",
    "y_predict_ms = ms.predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0    1149\n",
      "1     952\n",
      "2     899\n",
      "dtype: int64 2    1156\n",
      "1     954\n",
      "0     890\n",
      "Name: labels, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print(pd.value_counts(y_predict_ms),\n",
    "      pd.value_counts(y)\n",
    "      )\n",
    "#没有给出类数目 自动分出了3类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2    1149\n",
      "1     952\n",
      "0     899\n",
      "dtype: int64 2    1156\n",
      "1     954\n",
      "0     890\n",
      "Name: labels, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "#如果数据不对原本的标签 需要对结果修正\n",
    "y_corrected_ms = []\n",
    "for i in y_predict_ms:\n",
    "    if i==0:\n",
    "        y_corrected_ms.append(2)\n",
    "    elif i==1:\n",
    "        y_corrected_ms.append(1)\n",
    "    else:\n",
    "        y_corrected_ms.append(0)\n",
    "print(pd.value_counts(y_corrected_ms),\n",
    "      pd.value_counts(y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.997\n"
     ]
    }
   ],
   "source": [
    "#再看看矫正后的准确率\n",
    "print(accuracy_score(y,y_corrected_ms))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "#列表转换\n",
    "y_corrected_ms = np.array(y_corrected_ms)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#可视化\n",
    "fig10 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y_corrected_ms==0],X.loc[:,'V2'][y_corrected_ms==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y_corrected_ms==1],X.loc[:,'V2'][y_corrected_ms==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y_corrected_ms==2],X.loc[:,'V2'][y_corrected_ms==2])\n",
    "\n",
    "plt.title(\"ms data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "fig11 = plt.figure()\n",
    "label0 = plt.scatter(X.loc[:,'V1'][y==0],X.loc[:,'V2'][y==0])\n",
    "label1 = plt.scatter(X.loc[:,'V1'][y==1],X.loc[:,'V2'][y==1])\n",
    "label2 = plt.scatter(X.loc[:,'V1'][y==2],X.loc[:,'V2'][y==2])\n",
    "plt.title(\"labled data\")\n",
    "plt.xlabel('V1')\n",
    "plt.ylabel('V2')\n",
    "plt.legend((label0,label1,label2),('label0','label1','label2'))\n",
    "plt.scatter(centers[:,0],centers[:,1])\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "PyCharm (Learning)",
   "language": "python",
   "name": "pycharm-bd849f12"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  },
  "pycharm": {
   "stem_cell": {
    "cell_type": "raw",
    "source": [],
    "metadata": {
     "collapsed": false
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}